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adoni [48]
3 years ago
15

Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What

is the probability (rounded to the nearest ten thousandth) that both cards are diamonds?
Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

The correct answer is 0.05882.

Step-by-step explanation:

A deck of cards have 52 cards, 13 cards of each suit.

We are drawing two cards without replacement.

We need to find the probability of getting a diamond as the first card.

Favorable outcomes are 13 and total number of outcomes are 52.

Thus this probability is \frac{13}{52} = \frac{1}{4}.

Now for the next draw we again want to pick a diamond card.

Favorable outcomes are 12 and total number of leftover cards are 51.

Thus this probability is \frac{12}{51}.

Now the probability that both cards are diamonds is \frac{1}{4} × \frac{12}{51} = \frac{3}{51} = \frac{1}{17} = 0.0588235 ≈ 0.05882

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Write the fracción which corresponds to the part no shaded
Andru [333]

Answer:

1/6

Step-by-step explanation:

There are 6 large squares here, all of which have been shaded but for one.

Thus, the desired fraction is 1/6.

8 0
3 years ago
Need helps asap. i will give brainliest
3241004551 [841]

The expression as a power is x¹⁰.

Given, the expression is xx⁴x⁴x

In exponents we have the power rule while multiplying.

the rule is that when bases are same, powers are added.

Exponent multiplication is the process of multiplying two terms with exponents. Depending on the base and the power, specific rules apply when multiplying exponents.

⇒ xx⁴x⁴x

base is same, power should be added.

⇒ x¹⁺⁴⁺⁴⁺¹

= x¹⁰

Hence the expression as a power is x¹⁰.

Learn more about Exponents here:

brainly.com/question/11975096

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3 0
1 year ago
I need help with this question
Sonbull [250]

= 4 (6) - 4 (√2) + √2 (6) - √2 <span>√2
</span>= 24 - 4√2  + 6√2 - 2 
= (24 - 2)  +  (- 4√2  + 6√2)
= 22 + √2(- 4 + 6)
= 22 + √2 (2)
= 22 + 2√2

hope it helps
5 0
3 years ago
What is this
allsm [11]

Answer:

In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the si…

Step-by-step explanation:

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